Answer:
8. 7.2
9. 6.7
Step-by-step explanation:
So here are the answers to the given questions above:
1. Since the equation is already given, what we are going to do is to solve for x first.
<span>x + (2x – 10) + 1/2 (2x – 10) = 145
x + (2x -10) + x - 5 = 145
x + 2x + x - 10 - 5 = 145
4x = 145 +10 + 5
4x = 160 <<divide both sides by 4 and we get
x = 40.
Therefore, the amount of white paint is 40ml.
The amount of blue paint is 70ml and the green paint is 35ml.
So the difference between the a</span><span>mounts of white paint and blue paint Vivian combined is 30ml.
2. T</span>he equation of the line that passes through the points (-2, 1) and (1, 10) would be: <span>3x - y = -7, the last option. In order to check, just plug in the given ordered pairs.</span>
Answer:
10m
Step-by-step explanation:
<u>Perimeter</u> means adding up all of the sides of a shape.
One property of a square is that <u>all lengths of a square are the same</u>.
We also know squares have <u>4 sides</u>.
<u />
Lets set up an expression to solve the length for each side with variable S representing the length of a side:
4 * S = 40
Divide each side by 4:
S = 10
Therefore, each side of the square has a length 10m
<u />
If you recall soh-cah-toa, tangent is equal to the opposite length divided by the adjacent length so it is true.
The 9-sided polygon will have a central angle between the vertex and the center of one side of 360°/(2*9) = 20°. Then the apothem is
a = (6 in/2)*cot(20°) ≈ 8.242432 in
The perimeter is 9*6 in = 54 in, so the area is
A = (1/2)Pa = (1/2)*(54 in)*(8.242432 in) ≈ 222.5 in²
